CH7(1-79)

CH7(1-79) - @T|ih 5ii? :14 Lqirupdwlrq dqg dvvxpswlrqv...

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±²@T|ih 5i³i? :14 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg Srzhu Rxwsxw Hqhuj| htxdwlrq b T ± b Z v @b p + k 5 . Y 5 5 @ 5 ± k 4 ± Y 5 4 @ 5, ± 5 > 833 ± b Z v @8 > ;33^4 > 3<; . 533 5 @ +5 ² ::; ² 65 = 5,` ± 4 > 59; ± ^83 5 @ +5 ² ::; ² 65 = 5,` EWX2ku b Z v @< = :< ² 43 8 EWX2ku @ 6;7 ks 89<
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:15 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg srzhu rxwsxw Hqhuj| htxdwlrq b T ± b Z v @b p ^+ k 5 ± k 4 ,.+ Y 5 5 ± Y 5 4 , @ 5` ± 43 ± b Z v @7 > 333^+5 > 954 ± 6 > 395, . +83 5 ± 43 5 , @ +5 ² 4 > 333,` nM2ku b Z v ; <nZ 8:3
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:16 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg udwh ri khdw orvv Vroxwlrq b T ± b Z v @b p ^+ k 5 ± k 4 ,.+ Y 5 5 ± Y 5 4 , @ 5` @ ± 4^+5 > 963 ± 6 > 7:3, . +:3 5 ± 8 5 , @ +5 ² 4 > 333,` @ ± ;6: = 9nM2v b T @ b Z v ± ;6: = 9@;63 ± ;6: = 9@ ± : = 8:4
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:17 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg srzhu uhtxluhg wr rshudwh frpsuhvvru Vroxwlrq Hqhuj| htxdwlrq= b Z @ b T .b p + Y 5 4 @ 5 ± Y 5 5 @ 5. k 4 ± k 5 , Wkh lqohw nlqhwlf hqhuj| lv qhjoljleoh vr b Z @b p + ± Y 5 5 @ k 4 ± k 5 , @4 = 8+ ± 533 5 @ 5.633 ² 43 6 ± 833 ² 43 6 , b Z @ ± 553 nZ Qrwh= Zrun grqh wr v|vwhp lv lqglfdwhg e| wkh qhjdwlyh vljq1 8:5
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:18 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg yhorflw| dqg whpshudwxuh dw rxwohw Vroxwlrq k 4 . Y 5 4 @ 5@ k 5 . Y 5 5 @ 5+ 4 , k 4 ± k 5 @ Y 5 5 @ 5 ± Y 5 4 @ 5 b p @ ± 4 Y 4 D @+ s 4 @UW 4 , Y 4 D ru W 4 @ s 4 Y 4 D@ + U b p , zkhuh D ²@ 7, ² +3 = 3;, 5 @3 = 338357 p 5 k 4 ± k 5 @ f s + W 4 ± W 5 ,@^ f s s 4 Y 4 D@ + U b p ,` ± ^ f s s 5 Y 5 D@ + U b p ,` +5, f s s 4 D + U b p ,@4 > 337 ² 483 ² 43 6 ² 3 = 338357 @ +5;: ² 3 = 8, @8 > 5:5 p2v dqg f 5 s 5 D@ + U b p ,@+433 @ 483, ² +8 > 5:5, @ 6 > 848 p2v Frqwlqxlw| htxdwlrq Y 4 @b p@± 4 D zkhuh ± 4 @483 ² 43 6 @ +5;: ² 5<;, @ 4 = :;7 nj2p 6 Wkhq Y 4 = 83 @ +4 = :;7 ² 3 = 338357, @ 88 = ;p2v +6, Xwlol}lqj Htv1 +4,/ +5, dqg +6,/ zh kdyh 88 = ; ² 8 > 5:5 ± 6 > 848 Y 5 Y 5 5 @ 5, ± +88 = ; 5 @ 5, +7, Vroylqj Ht1 +7, |lhogv Y 5 @;6 = 48 p2v f s + W 4 ± W 5 ,@+ ; 6 = 48 5 ± 88 = ; 5 , @ [email protected] > <33 p 5 2v 5 W 5 @ W 4 ± +4 > <33 @f s , @5 3 F ± 4 > <33 @ 4 > 337 @ 4; = 4 F 8:6
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:19 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg ± dqg phdq yhorflw| lq whupv ri Y pd{ Vroxwlrq ± Y @ [email protected] @ ] D [email protected] zkhuh Y @ Y pd{ ± 3 = 6 Y pd{ [email protected] 3 ± Y @ Y pd{ +4 ± 3 = 6 [email protected] 3 , Wkhq ± Y @+ Y pd{ @²u 5 3 , ] u 3 3 +4 ± 3 = 6 [email protected] 3 ,5 ²ugu 5 ²Y pd{ @²u 5 3 , ] u 3 3 +4 ± 3 = 6 [email protected] 3 , ugu 5 Y pd{ @u 5 3 , ] u 3 3 + ugu ± +3 = 6 u 5 @u 3 ,, gu 5 Y pd{ @u 5 3 ,+ u 5 3 @ 5 ± 3 = 6 u 5 3 @ 6, @ 3 = ;33 Y pd{ ± 4 @²u 5 3 , ] u 3 3 ^+4 ± 3 = 6 [email protected] 3 , Y pd{ @ 3 = ;33 Y pd{ ` 6 5 ²ugu ± @5 ²@ ++3 = ;33, 6 ²u 5 3 , ] u 3 3 +4 ± 3 = 6 [email protected] 3 , 6 ugu Lqwhjudwlqj |lhogv ± @4 = 355 8:7
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:1: Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg nlqhwlf hqhuj| fruuhfwlrq idfwru ± Vroxwlrq ± Y @ Y pd{ @ 5dqg Y @ Y pd{ [email protected] Wkhq ± @+4 @g , ] g 3 + Y pd{ |@ ++ Y pd{ @ 5, g ,, 6 g| @g , ] g 3 +5 [email protected] , 6 g| @5 8:8
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:1; d, ± @4 = 3 >e, ±A 4 = 3 >f , 4 = 3 >g , 4 = 3 8:9
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:1< Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg nlqhwlf hqhuj| fruuhfwlrq idfwru ± Vroxwlrq ± @+ 4 @D , ] D + Y@ ± Y , 6 gD Y @ Y pd{ ± + [email protected] 3 , Y pd{ Y @ Y pd{ +4 ± + [email protected] 3 ,, T @ ] YgD @ ] u 3 3 Y +5 ²ugu ,@ ] u 3 3 Y p +4 ± [email protected] 3 ,5 ²ugu @5 ²Y p ] u 3 3 ^ u ± + u 5 @u 3 ,` gu Lqwhjudwlqj |lhogv T p ^+ u 5 @ 5, ± + u 6 @ +6 u 3 ,,` u 3 3 T p ^+4 @ 9, u 5 3 ` T 4 @ 6, Y p D ru Y @ [email protected] @4 @ 6 Y p Wkhq ± 4 , ] u 3 3 ^ Y p +4 ± [email protected] 3 , @ ++4 @ 6, Y p ,` 6 5 ²ugu ± 8 7 ²@²u 5 3 , ] u 3 3 +4 ± + [email protected] 3 ,, 6 ugu = : 8::
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:143 Lqirupdwlrq dqg dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg nlqhwlf hqhuj| fruuhfwlrq idfwru ±
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This note was uploaded on 12/09/2009 for the course CE 2200 taught by Professor Deng during the Spring '09 term at LSU.

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CH7(1-79) - @T|ih 5ii? :14 Lqirupdwlrq dqg dvvxpswlrqv...

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